Abstract

The analysis of the hydromagnetic boundary layer in  incompressible fluid, for power functions of the distributions of mainstream velocity and applied magnetic field is presented.

The global features of the solution to the generalized Falkner-Stan equation are used to obtain the universal bounds for the value of the second derivative of solution at the wall. This yields two inequalities for tho coefficient of skin friction at the wall. The upper and lower bounds are simple functions of the velocity distribution law exponent, of the Reynolds number and the Hartmann one. The accuracy of the estimation increases with the magnitude of the Hartmann number. If a strong magnetic field is applied, the reduced coefficient of friction will be proportional to the square root of the Stuart number. The results gained are compared with those obtained by several authors analytically or numerically.